Skip to content
GATEiit

GATE CSE 2021 Set 1 Q16: Hexadecimal form of the base-3 number 210

Question

Let the representation of a number in base 3 be 210. What is the hexadecimal representation of the number?

Try it: multiple choice: exactly one correct option

Select one option
Wrong answer costs 1/3 mark in GATE.
Show answer and explanation

Answer: A (official GATE 2021 final answer key)

Concept used: Base conversion through decimal.

First step: (210)3=2⋅9+1⋅3+0=21(210)_3 = 2 \cdot 9 + 1 \cdot 3 + 0 = 21 in decimal; now write 21 in base 16.

Full step-by-step solution

Detailed working, common mistakes and linked mock tests will be available with a free GATEiit account. Log-in is coming soon.

Share this question

WhatsAppDownload image

Source: official GATE 2021 Set 1 CS question paper and final answer key, organised by IIT Bombay. Question paper · Answer key